2682068336640 has 2176 divisors, whose sum is σ = 12369411440640. Its totient is φ = 535088332800.

The previous prime is 2682068336617. The next prime is 2682068336681. The reversal of 2682068336640 is 466338602862.

2682068336640 is a `hidden beast` number, since 2 + 68 + 206 + 8 + 336 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21118648257 + ... + 21118648383.

Almost surely, 2^{2682068336640} is an apocalyptic number.

2682068336640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682068336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184705720320).

2682068336640 is an abundant number, since it is smaller than the sum of its proper divisors (9687343104000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2682068336640 is a wasteful number, since it uses less digits than its factorization.

2682068336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 2682068336640 in words is "two trillion, six hundred eighty-two billion, sixty-eight million, three hundred thirty-six thousand, six hundred forty".